Dividing Polynomials by Monomials

To divide a polynomial by a monomial, split it up into separate fractions then reduce.

Here's how this works:

Dividing polynomials by monomials img 1 The entire trinomial Dividing polynomials by monomials img 2 is being divided by x, so that means each term within the trinomial is divided by x.we can write three separate fractions then with x as the denominator of each. So, Dividing polynomials by monomials img 3Dividing polynomials by monomials img 4.Now we just have to reduce each fraction and we have our answer: Dividing polynomials by monomials img 5

Sometimes the answer comes out evenly as in the example above, but sometimes you are left with a fraction as part of your answer.

For example, Dividing polynomials by monomials img 6Dividing polynomials by monomials img 7

Practice: Divide

1)Dividing polynomials by monomials img 8

2)Dividing polynomials by monomials img 9

3)Dividing polynomials by monomials img 10

4)Dividing polynomials by monomials img 11

5)Dividing polynomials by monomials img 12


Answers: Dividing polynomials by monomials img 13 Dividing polynomials by monomials img 14 Dividing polynomials by monomials img 15 Dividing polynomials by monomials img 16 Dividing polynomials by monomials img 17

Related Links:
Math
Algebra
Polynomials
Algebra Topics


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